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Answer the following questions about Quicksort in detail: a. Give an example of an input and pivot element that can cause O(n 2 ) runtime.

Answer the following questions about Quicksort in detail:

a. Give an example of an input and pivot element that can cause O(n²) runtime.

b. Why do many implementations choose a random pivot element? Why do we instead choose the median-of-three method, and is this sufficient?

c. Explain how to partition with non-unique elements and explain the reasons why.

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